3644463633264 has 30 divisors (see below), whose sum is σ = 10199436418496. Its totient is φ = 1214821211040.

The previous prime is 3644463633263. The next prime is 3644463633281. The reversal of 3644463633264 is 4623363644463.

3644463633264 is a `hidden beast` number, since 3 + 64 + 4 + 463 + 63 + 3 + 2 + 64 = 666.

3644463633264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3644463633264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644463633263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12654387472 + ... + 12654387759.

Almost surely, 2^{3644463633264} is an apocalyptic number.

It is an amenable number.

3644463633264 is an abundant number, since it is smaller than the sum of its proper divisors (6554972785232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3644463633264 is a wasteful number, since it uses less digits than its factorization.

3644463633264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25308775245 (or 25308775236 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 54.

The spelling of 3644463633264 in words is "three trillion, six hundred forty-four billion, four hundred sixty-three million, six hundred thirty-three thousand, two hundred sixty-four".